1、Mf 421 = 9 LMf sZE LMf sMMf s sBsi = B B 20)sin,(cos dxxxR$f f Ts uW T1M Mxiez = zidzdx = )(21cos1+= zzx )(21sin1= zzix xV 02 1=z I HB 59 )10(cos1209 +=2/02cos1 xdxI $f VT=+=+=+=112421202161)2(141cos141zzzzzdzizzizdzxdxI )223)(223(162224+=+ zzzz$f 2232,1= iz s =281223224223)223)(223(lim)(sRe211=+=ii
2、izzzzfzzMf 422281223224223)223)(223(lim)(sRe222=+=iiizzzzfzz 2224112=iiI= = dxxf )(f(z) L “K z # L H f(z)B 5 )(2)(lim)( zfidxxfdxxfRRR= = L T CR I H l5 yCRR+=RCRRldzzfdxxfdzzf )()()( -R 0 R x ? 0)(lim =RCRdzzf 5 T /RRzzfzdzzzfzdzzzfdzzfRRRCCC=)(max)()()( 0)(max =zzzf f(z)z s Ts Q s0 Q 0)(lim =zzfz z
3、 = x + i y y 0ic z = z = B L 9 59 +21 xdxf 211)(zzf+= s Q 1s0 2 O L Mf 423)(1)(izizzf+= i i 7iizifiz211lim)(sRe =+= =+iixdx21212 0cos)( mxdxxF 0sin)( mxdxxG ( m 0 )f F(z) f G(z) L “K z # L H F(z) G(z)B 5imzezFimxdxxF )(cos)(0= = imzezGmxdxxG )(sin)(0= = o p e / e / )(21cosimximxeemx+= Vw= dxexFmxdxx
4、Fimx)(21cos)(0 = dxexGimxdxxGimx)(21sin)(0 = VB“ 2B“ 2 ibBf f(z)1 p z # L H zf(z) B 0 0)(lim =RCRdzzfo p f f(z)e i m zVb z f(z) B 0 0)(lim =RCimzRdzezf =wB Timzimxezfidxexf )(2)( = = f(x) f f + b 59 +022cosdxaxmxMf 424imzimzeaizaizeaz )(1122+=+ a i ! m 0a 0 a i = maimzaizeiaaizeaifs=+=21lim)(Re mamaeaeiaidxaxmx=+221cos022T 0 ) = f f(z) u = =nkkzf1)(Res f f(z) .M=1)(zixdzzfez M f(z) . )()( zfxf .imzimzezGezFmxxGmxxF )(,)(sin)(,cos)( Tf(z) u . = . = y0 .2i iMy0 .2i .mxcos imxsin s /KM .0 2/0 .0 .1 I nMS T $f 1 Hq B T B5V T1i5 x z f(z) # Res f(zk) e13
